Information on Result #1127855
Linear OOA(2166, 55, F2, 5, 77) (dual of [(55, 5), 109, 78]-NRT-code), using construction X applied to AG(5;F,81P) ⊂ AG(5;F,90P) based on
- linear OOA(2146, 48, F2, 5, 77) (dual of [(48, 5), 94, 78]-NRT-code), using algebraic-geometric NRT-code AG(5;F,81P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
- linear OOA(2128, 48, F2, 5, 59) (dual of [(48, 5), 112, 60]-NRT-code), using algebraic-geometric NRT-code AG(5;F,90P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(220, 7, F2, 5, 17) (dual of [(7, 5), 15, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,17P) [i] based on function field F/F2 with g(F) = 3 and N(F) ≥ 7, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2166, 55, F2, 5, 76) (dual of [(55, 5), 109, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |